c) Using the Euler-Lagrange equation of the Calculus of Variations Optimize (-16y² + 144y + 11yy' − 4(y')²)dx Subject to y(0) = 8 and y(1) = 8.6, 0 < y(x) < 1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 29E
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c) Using the Euler-Lagrange equation of the Calculus of Variations
Optimize (-16y² + 144y + 11yy' − 4(y')²) dx
Subject to y(0) = 8 and y(1) = 8.6, 0 < y(x) < 1
Transcribed Image Text:c) Using the Euler-Lagrange equation of the Calculus of Variations Optimize (-16y² + 144y + 11yy' − 4(y')²) dx Subject to y(0) = 8 and y(1) = 8.6, 0 < y(x) < 1
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